is 2 3026929 - 1
has 911197 decimal digits
takes 0.258 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
1 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP54D4D416BE5953__verified PRP

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbabilityProb over default TF
Actual26819.691567.6471%32656184186140248816.326213.4724%36.017872.0058%4.3587%
PrimeNet2600.050763.3333%120002200000.00292.5193%0.053664.2571%0.9237%
GPU722641.175965.6250%130002200000.00301.4288%1.178966.1162%0.4912%
Difference+4+18.5156+2.0221%+32643184+1861182488+16.3232+12.0436%+34.8389+5.8896%+5.8896%

Known prime factors (1 factor, 75.9 bits, 0.00250681% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
3026929694920554147895313949032375.87911478970173200219
9391 × 1222337362709
2020-10-08939112223373627094,464.48,218.715,350

P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2003-12-23T00:00:00Team Prime Ribv4_computers1000010000---0.001--0.147%
2004-02-07T00:00:00ANONYMOUSv4_computers2048204800---0.002--0.248%
2010-10-13T06:56:00markrtiny1150002357500---0.029--2.661%
2016-04-26T19:22:00harleeP4_2600205000563750012---0.062--3.561%
2017-06-06T18:28:34mikrMSI300000010000000012---1.022--8.029%
2020-01-28T19:38:50oodairacom532656184186140248812---16.33--13.472%
2021-01-14T13:16:35Jocelyn LaroucheManual testing302692302692---0.037--1.527%
2021-01-14T22:55:42Jocelyn LaroucheManual testing30269230269296---0.056--3.274%
2022-01-23T08:34:37Jocelyn LaroucheManual testing1052692119912100---0.929--7.504%


Trial Factoring results:
 BitsFactorGHz-Daysworth
dateuseridcompidfromtofactorbits*digitsspentsaved
2001-04-08T00:00:00ANONYMOUSv4_computers21260--0.051--
2009-01-29T21:03:00Jayson Kingatlas260261--0.051--
2010-10-06T17:35:00Sid & AndyBuzz261262--0.101--
2013-01-07T13:54:00dbaughManual testing262263--0.324--
2015-02-07T18:28:00VictordeHollanderManual testing263264--0.649--
2015-02-07T18:28:00VictordeHollanderManual testing264265--1.234--
2015-06-02T19:30:00ThaManual testing265266--2.469--
2017-05-01T03:38:02Gordon SpenceManual testing266267--4.938--
2018-07-16T08:59:48ramgeisManual testing267268--9.88--


ECM factoring results:

Old Calculation Method

Total ECM effort:1.977 GHz-days
Estimated T-Level:0.850
DigitsB1CurvesCompleteFacMiss
201100017 / 1000.17084.294%
255000017 / 2800.06194.099%

New Calculation Method

Total ECM effort:1.977 GHz-days
Estimated T-Level:0.850
DigitsB1CompleteFacMiss
20110000.54857.788%
25500000.05095.165%
302500000.00399.695%


ECM Summary

B1B2factorcurvesGHz-days
500005000000161.861
50000500000010.116


Lucas-Lehmer results:
dateuseridcompidres64spent (GHz-days)
1999-05-30T00:00:00mijutuv4_computersAE915B6B0D070A__0.258


PRP results:
dateuseridcompidcofactorsres64PRP
2020-10-08T16:49:05mrh.orgi
69492055414789531394903
54D4D416BE5953__no


P-1 factor-bounds graph:
B1 = 32656184, B2 = 1861402488 (P-1 stage 2)
B1 = 32656184 (P-1 stage 1)
B1 = 3000000, B2 = 100000000 (P-1 stage 2)
B1 = 1052692, B2 = 119912100 (P-1 stage 2)
B1 = 3000000 (P-1 stage 1)
B1 = 1052692 (P-1 stage 1)
B1 = 205000, B2 = 5637500 (P-1 stage 2)
B1 = 302692, B2 = 3026929 (P-1 stage 2)
B1 = 302692 (P-1 stage 1)
B1 = 115000, B2 = 2357500 (P-1 stage 2)
B1 = 205000 (P-1 stage 1)
B1 = 115000 (P-1 stage 1)
B1 = 2048, B2 = 204800 (P-1 stage 2)
B1 = 10000 (P-1 stage 1)
B1 = 2048 (P-1 stage 1)
102
103
104
105
106
107
108
102
103
104
105
106
107
108
109
1010
1011
1012
1013
TF factor-bounds graph:
268
267
266
265
264
263
262
261
260
250
260
270
280
290
2100
Last modified: 2022-01-23T08:34:37+00:00